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Homotopy Gerstenhaber algebra as a hidden structure within Einstein equations

Anton M. Zeitlin
(Columbia University)
Seminar
Torsdag, 30 juni, 2016, at 15:15-16:15, in Aud. G1 (1532-116)
Abstrakt:
We obtain Einstein equations with matter fields as generalized Maurer-Cartan equations for L-infinity algebra, which is a subalgebra of G-infinity algebra.
This G-infinity algebra arises as quasiclassical limit from homotopy Gerstenhaber algebra associated to a certain vertex algebra. Its chiral version turns out to be a natural object associated to the Courant algebroid, which generalizes L-infinity algebra considered by Roytenberg and Weinstein.
Organiseret af: QGM
Kontaktperson: Jørgen Ellegaard Andersen